Diver Steve laid out where you can go. I'll come at your issue from a different angle; what you want to go find. You mostly dove Cozumel & liked it, and have tried Hawaii & the Florida Keys. So your main experience (Cozumel) is warm excellent viz. rather deep drift diving with varied topography and attractive reefs and a decent amount of fairly 'big stuff' (e.g.: black grouper, eagle ray, southern stingray, green moray), yes? You've also done shallow warm water good viz. 'spur & groove formation' reef diving in the Keys, which can be quite fishy, with some big stuff (e.g.: black grouper, stingrays, green morays, big barracuda, nurse sharks, some reef sharks). I haven't been to Hawaii so I don't know much on that; if you dove boat, shore or both, whether you did the night manta dive, etc...
With that frame of reference, why do you want a new location?
I ask, because we need to know if you want 'just a different name' with the same stuff, or you want to try something new? Are we talking new topside (e.g.: mountainous lush rainforest in St. Lucia, Saba or Dominica if I understand correctly), or underwater (e.g.: pinnacle diving in Saba; shore diving in Bonaire or Curacao; a shark feeding dive somewhere; reefs known for natural shark sightings).
What do you want to do besides dive? Do either of you...
1.) Lay on the beach & bake, or walk up & down it?
2.) Dance & Party?
3.) Spend a lot of time in bars?
4.) Zip Line or do aerial trams, rain forest hikes, Mayan ruin tours, horseback riding, cave tubing, ATV tours, etc...?
5.) Shop a lot?
6.) Put a big value on 'authentic' local culture vs. prefer a nice, easy 'everybody speaks English & accepts dollars & credit cards' type experience?
7.) Prefer guided boat dives, self-guided anytime shore diving, or something else? Are you macro lovers (e.g.: nudibranchs), or do you like to see lots of big stuff?
8.) What appeals to you about AI? If a place were otherwise a good match & restaurants were close & convenient, would that still matter? Is 'all you can drink booze' important with an AI for you?
9.) A live-aboard would cost a bit more than you planned when tips are considered, but it's about as 'AI' as it gets, different than what you've done before (unless you did the Kona Aggressor maybe?), offers a lot of diving (sometimes with access to remote sites) for the money and many people love them. Is one an option?
Richard.